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The times in seconds T 1 , T 2 ,..., T n between messages arriving at a node in a telecommunications system constitute a random

The times in seconds T1, T2,..., Tn between messages arriving at a node in a telecommunications system constitute a random sample from an exponential distribution with probability density function f(t)=-1 e-t/ (t > 0), where is an unknown parameter.Show that n =1/n Ti is an unbiased estimator of and find its variance.

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